Answer:
Step-by-step explanation:
Givem the profit function
p(x) = −2000x2 + 18000x − 15000
We are to generate the price range that will generate a monthly profit of at least $25,000
Substitute into the function we have;
25000 = −2000x2 + 18000x − 15000
Divide through by 1000
25 = -2x²+18x-15
Rearrange
-2x²+18x-15-25 = 0
2x²-18x+40 = 0
Divide through by 2
x²-9x+20 = 0
Factorize
x²-5x-4x+20 = 0
x(x-5)-4(x-5) = 0
x-4 = 0 and x-5 = 0
x = 4 and x = 5
Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive
5(2x+8)-5x=5(5x+6)
Distribute
10x+40-5x=25x+30
combine like terms
5x+40=25x+30
-5x -5x
subtract 5x from both sides
40=20x+30
-30 -30
subtract 30 from both sides
10=20x
÷20 ÷20
divide both sides by 20
1/2=x is your final answer
Answer:
D) If an integer is NOT even then it is NOT divisible by 2.
Step-by-step explanation:
An inverse if/then statement is like an opposite statement. So the statement "if A happens, then B will happen" the opposite would be like saying "if A does NOT happen then B will NOT happen." Hopefully that makes sense :)
Larger Number: 28
Smaller Number: 20
Answer:
D.
Step-by-step explanation:
